Answer:
he equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0
slope intercept form
Step-by-step explanation:
<u><em>Explanation:</em></u>-
Given equation of the line
y = 1/8x-4
8 y = x - 32
x - 8 y -32=0
<em>The equation of the line is parallel to the given line a x + b y + k=0</em>
<em> x - 8 y + k=0</em>
<em>This line is passing through the point ( 1,4)</em>
<em> x - 8 y + k=0</em>
1 - 32 + k =0
k = 31
The equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0
<em>slope intercept form</em>
<em> 8 y = x + 31</em>
I hope this helps you
10 1/2 + 10 + 7 + 6 + 3 1/2 +4
10+1/2+27+3+1/2
40+1/2+1/2
40+2/2
40+1
41
Answer:
7/9 of 4815 is 3852. 1/2 of 3852 is 1926. So 1926 dollars
Step-by-step explanation:
Answer:
a)
b)
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is , where is the rate of salt entering and is the rate of salt going outside.
Then we have, , and
So we obtain. , then
, and using the integrating factor , therefore , we get , after integrating both sides , therefore , to find we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions , so
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of , due we have 500 L to overflow , so we can evualuate the expression of a) , is the salt concentration when the tank overflows